Topological structure for the space consisting of images
Gao Zhi-min · JOURNAL OF SHENZHEN UNIVERSITY SCIENCE AND ENGINEERING · 2007
A perfect topological Structure for the space consisting of images was given. It is proved that the topological space consisting of compact sets of the n-dimensional Euclidean space is not compact and has no Hausdorff metric. But the topological space consisting of compact sets of a fixed bounded closed set of the n-dimensional Euclidean space is a compact space and has the Hausdorff metric.